All categories

3 years ago

What is factor form x^2-10x+25 show work

Mathematics

1 answer:

iogann1982 [59]3 years ago

5 0

This trinomial is in a special form that can

be factored as the product of two binomials.

The first term in each binomial will be a factor of the x² term.

Since x² is just x · x, we use those as our first factors.

To factor this trinomial, we need factors of our constant that

add to the coefficient of the middle term in our trinomial.

So we're looking for factors of 25 that add to -10.

When your constant is positive and your middle term is negative,

you are going to use the negative factors of your constant term.

So the two numbers hat multiply to gives

us 25 and add to -10 are -5 and -5.

So our answer is (x - 5)(x - 5).

You might be interested in

Which point is located at 2 7/10 PLEASE ANSWER QUICK

german

C, with the ten segments and moving over seven of them you will land on C.

4 0

2 years ago

What would be the correct notation for the following ray?

muminat

It would be the middle choice. The choice on the left represents a line, and the choice on the right represents a line segment.

Hope this helps!

7 0

1 year ago

What is the difference between 0.05, 0.5, and 0.50

AfilCa [17]

Answer:5/100, 5/10, 50/100

Step-by-step explanation:

5 0

3 years ago

Students at sunnyvale Middle School volunteered to work a 2-hour Shift at a car wash fundraiser. The table shows the number of p

Lana71 [14]

Answer:

the number of cars washed per person is not the same for each number of workers, so the relationship is not proportionalStep-by-step explanation:

3 0

3 years ago

Read 2 more answers

Martha is late for class, so she races her 75 kg body up a 4.0 meter flight of stairs in only 2.3 seconds. What is Martha’s powe

vovangra [49]

Answer:

$1.3\cdot 10^3\text{ J}$

Step-by-step explanation:

Power is defined by work over time. In physics, work can be defined as the energy transferred over from an applied force over some distance. As a formula:

$W=Fd$ , where F = force applied and d = distance that force is applied over.

*It is worth noting that F must be parallel to the distance travelled. If it is perpendicular, no work is done, and if it is at an angle, find the parallel component and use that for F.

In this case, the force applied must counter the force of gravity on Martha, which is given by $F_g=mg$ , where m = Martha's mass and g = gravitational constant 9.8 m/s/s. Therefore, $F_g=75\cdot 9.8=735\text{ N}$ . Since she raises her body 4.0 meters, the work done must be $W=Fd=735\cdot 4=2940\text{ J}$ .

Since power is equal to work over time and t = 2.3 seconds, we have:

$\displaystyle P=\frac{W}{t}=\frac{2940}{2.3}=\boxed{1278\text{ J}}\approx \boxed{1.3\cdot 10^3\text{ J}}$ (to two significant figures)

7 0

1 year ago